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Finding the Third Proportional to 106,119 and 232,650

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Solution

The third proportional to 106,119 and 232,650 is: 510,050.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,119 : 232,650 = 232,650 : x
  2. Step 2: Convert to fraction form
    106,119/232,650 = 232,650/x
  3. Step 3: Cross multiply
    106,119x = 232,650 × 232,650
  4. Step 4: Simplify right side
    106,119x = 54,126,022,500
  5. Step 5: Solve for x
    x = 54,126,022,500/106,119
  6. Step 6: Final answer
    x = 510,050.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.